1.A caterer made 150 sandwiches for 120 people. How many sandwiches are there for each person? A 1.25 or 1 1/4 sandwich/person
2.On the blueprint of Lauren's new office building, the scale is 3 in. equals 8 ft. What will be the actual length of Lauren's office if it measures 6 in. long on the blueprint?
a. 16ft.
3.Write 0.21 as a percent.
A. 21%
4. 1,155 is what percent of 210?
A. 550%
5. The electricity costs of a business increased from $18,000 one year to $19,000 the next. To the nearest whole percent, what was the rate of increase?
A. 6%
6. Rewrite the statement, using percent notation.
7. 13 out of 25 college students work at part-time jobs.
A. 52% of college students work a part- time jobs
8. Write 2 1/4 as a percent.
A. 225%
9. Write 20% as a fraction or a mixed number.
A. 1/5
10.A saleswoman is working on a 6% commission basis. If she wants to make $2,400 in one month, how much must she sell?
A. $40,000
All are correct
yes all of them are correct
How do you simplify when you cross cancel on multiplying fractions?
On the blueprint of Lauren's new office building, the scale is 3 in. equals 8 ft. What will be the actual length of Lauren's office if it measures 6 in. long on the blueprint? Set up a proportion.
To simplify when you cross cancel on multiplying fractions, follow these steps:
1. Write the fractions as a product of their numerators and denominators.
Example: (2/3) * (3/4)
2. Cancel out any common factors between the numerators and denominators.
Example: (2/3) * (3/4) = (2 * 1) / (1 * 4) = 2/4
3. Simplify the resulting fraction by dividing the numerator and denominator by their greatest common divisor (GCD).
Example: 2/4 = 1/2
Therefore, the simplified result of (2/3) * (3/4) is 1/2.
To find the actual length of Lauren's office, given the scale of 3 in. equals 8 ft and a length of 6 in. on the blueprint, set up a proportion:
Blueprint length / Actual length = Blueprint scale / Actual scale
Let x represent the actual length.
6 in. / x = 3 in. / 8 ft
To convert 8 ft to inches, multiply by 12 (since there are 12 inches in a foot):
6 in. / x = 3 in. / (8 ft * 12 in./ft)
Simplifying:
6 in. / x = 3 in. / 96 in.
Cross multiplying:
6 in. * 96 in. = 3 in. * x
576 in^2 = 3 in. * x
Divide both sides by 3 in.:
192 = x
Therefore, the actual length of Lauren's office is 192 inches.